Evaluating and Simplifying Functions

The video tutorial explains how to evaluate a function f(x) = 7x - 3 for different inputs. It first demonstrates how to substitute m for x to find f(m), resulting in 7m - 3. Then, it shows how to substitute m + h for x to find f(m + h), which simplifies to 7m + 7h - 3. The tutorial emphasizes understanding the substitution process and the resulting expressions.

What is the output of the function f(x) = 7x - 3 when the input is m?

• 7m + 3

• 7x + 3

• 7m - 3

• 7x - 3

When evaluating f(m), what is the input variable replaced with?

• h

• x

• m

• n

How do you express f(m + h) using the function f(x) = 7x - 3?

• 7m + 7h + 3

• 7m + 3h - 3

• 7m + 7h - 3

• 7m + h - 3

What operation is performed to simplify f(m + h) after substitution?

• Distribution

• Subtraction

• Multiplication

• Addition

What is the final simplified form of f(m + h)?

• 7m + 3h - 3

• 7m + 7h - 3

• 7m + 7h + 3

• 7m + 3h + 3